A New Centroid Method of Ranking for Intuitionistic Fuzzy Numbers

  • Anil Kumar Nishad
  • Shailendra Kumar Bharati
  • S. R. Singh
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 236)


In this paper, we proposed a new ranking method for intuitionistic fuzzy numbers (IFNs) by using centroid and circumcenter of membership function and non-membership function of the intuitionistic fuzzy number. The method utilizes the midpoint of the circumcenter of membership and non-membership function of intuitionistic fuzzy number to define the ranking function for IFN satisfying the general axioms of ranking functions. The developed method has been illustrated by some examples and is compared with some existing ranking method to show its suitability.


Intuitionistic fuzzy sets (IFS) Trapezoidal intuitionistic fuzzy number Triangular intuitionistic fuzzy number (TIFN) Membership function Non-membership function  Ranking function 



The authors are thankful to University Grants Commission (UGC), Government of India, and DST-CIMS, Banaras Hindu University, for financial support to carry out this research work.


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Copyright information

© Springer India 2014

Authors and Affiliations

  • Anil Kumar Nishad
    • 1
  • Shailendra Kumar Bharati
    • 1
  • S. R. Singh
    • 1
  1. 1.Department of MathematicsBanaras Hindu UniversityVaranasiIndia

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